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A stability of vector bundles with twisted sections and the Donaldson-Thomas instantons on compact K{a}hler threefolds

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 نشر من قبل Yuuji Tanaka
 تاريخ النشر 2013
  مجال البحث
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 تأليف Yuuji Tanaka




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We consider a version of Hermitian-Einstein equation but perturbed by a Higgs field with a solution called a Donaldson-Thomas instanton on compact Kahler threefolds. The equation could be thought of as a generalization of the Hitchin equation on Riemann surfaces to Kahler threefolds. In the appendix of arXiv:0805.2192, following an analogy with the Hitchin equation, we introduced a stability condition for a pair consisting of a locally-free sheaf over a compact Kahler threefold and a section of the associated sheaf of the endomorphisms tensored by the canonical bundle of the threefold. In this article, we prove a Hitchin--Kobayashi-type correspondence for this and the Donaldson-Thomas instanton on compact Kahler threefolds.



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